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219212940 = 22355696421
BaseRepresentation
bin11010001000011…
…10110010001100
3120021111011121210
431010032302030
5422104303230
633430254420
75301164532
oct1504166214
9507434553
10219212940
11102815a21
12614b7410
13365533cb
1421184152
15143a1eb0
hexd10ec8c

219212940 has 48 divisors (see below), whose sum is σ = 614970720. Its totient is φ = 58344960.

The previous prime is 219212927. The next prime is 219212989. The reversal of 219212940 is 49212912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 219212898 and 219212907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30930 + ... + 37350.

It is an arithmetic number, because the mean of its divisors is an integer number (12811890).

Almost surely, 2219212940 is an apocalyptic number.

219212940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219212940 is an abundant number, since it is smaller than the sum of its proper divisors (395757780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

219212940 is a wasteful number, since it uses less digits than its factorization.

219212940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 219212940 is about 14805.8414147930. The cubic root of 219212940 is about 602.9603146521.

The spelling of 219212940 in words is "two hundred nineteen million, two hundred twelve thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 569 1138 1707 2276 2845 3414 5690 6421 6828 8535 11380 12842 17070 19263 25684 32105 34140 38526 64210 77052 96315 128420 192630 385260 3653549 7307098 10960647 14614196 18267745 21921294 36535490 43842588 54803235 73070980 109606470 219212940